Finite Group Databasebeta

← Group #72341595

Character table — Group #72341595

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111466881212121212121216242424242424243232323248484848484848484848486464646464649696
order122222244222444442224444366624444448888661212121244
χ111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-11111-1-11-11-1-1-1-1-1-1111111-1-1
χ31111111-1-11111111-1111-1-1-1-11111-11-11-11-1-1-1-1-111-1-1-1-111
χ41111111-1-11111111-11-1-1111111111-1-1-1-1-11111111-1-1-1-1-1-1
χ51111-11111-1111-1-11-1-11111111111-1-1-1-111-111-1-1-1-111-1-11-1
χ61111-11111-1111-1-11-1-1-1-1-1-1-1-1111111-111-11-1-111-1-111-1-1-11
χ71111-111-1-1-1111-1-111-111-1-1-1-111111-11-1-111-1-111-1-1-1-1111-1
χ81111-111-1-1-1111-1-111-1-1-111111111-1111-1-1-111-1-1-1-1-1-111-11
χ9222222222222222222000000-1-1-1-100202000000-1-1-1-1-1-100
χ102222222-2-22222222-22000000-1-1-1-100-20-2000000-1-1111100
χ112222-22222-2222-2-22-2-2000000-1-1-1-100-20200000011-1-11100
χ122222-222-2-2-2222-2-222-2000000-1-1-1-10020-20000001111-1-100
χ132-2-220-220002-2-200200002-22-22-22-200000002-20000000000
χ142-2-220-220002-2-20020000-22-222-22-20000000-220000000000
χ153333333333-1-1-1-1-1-13-1111111000011-11-111-1-1-1-1000000-1-1
χ163333333333-1-1-1-1-1-13-1-1-1-1-1-1-10000-1-1-1-1-1-1-1111100000011
χ173333333-3-33-1-1-1-1-1-1-3-111-1-1-1-10000-111111-11111000000-1-1
χ183333333-3-33-1-1-1-1-1-1-3-1-1-1111100001-11-11-11-1-1-1-100000011
χ193333-33333-3-1-1-111-1-311111110000-1-11-1-11-1-1-111000000-11
χ203333-33333-3-1-1-111-1-31-1-1-1-1-1-100001111-1-1111-1-10000001-1
χ213333-333-3-3-3-1-1-111-13111-1-1-1-100001-1-1-111111-1-1000000-11
χ223333-333-3-3-3-1-1-111-131-1-111110000-11-111-1-1-1-1110000001-1
χ234-4-440-440004-4-400400000000-22-220000000000000000000
χ2466666-2-200-222-2-2-2-2022200000000020-20-20000000000000
χ2566666-2-200-222-2-2-2-202-2-2000000000-202020000000000000
χ2666666-2-200-2-2-222220-20022-2-20000200000-2000000000000
χ2766666-2-200-2-2-222220-200-2-2220000-2000002000000000000
χ286666-6-2-200222-222-20-222000000000-2020-20000000000000
χ296666-6-2-200222-222-20-2-2-200000000020-2020000000000000
χ306666-6-2-2002-2-22-2-22020022-2-20000-2000002000000000000
χ316666-6-2-2002-2-22-2-220200-2-2220000200000-2000000000000
χ326-6-6602-2000-22-24-4200002-2-2200000000000002-200000000
χ336-6-6602-2000-22-24-420000-222-20000000000000-2200000000
χ346-6-6602-2000-22-2-44200002-2-220000000000000-2200000000
χ356-6-6602-2000-22-2-4420000-222-200000000000002-200000000
χ366-6-660-66000-22200-200002-22-200000000000-220000000000
χ376-6-660-66000-22200-20000-22-22000000000002-20000000000
χ3888-8-80004i−4i00000000000000022-2-200000000000002i−2i0000
χ3988-8-80004i−4i000000000000000-1-11100000000000−i3i3−ii3−300
χ4088-8-80004i−4i000000000000000-1-11100000000000i3−i3−ii−3300
χ4188-8-8000−4i4i00000000000000022-2-20000000000000−2i2i0000
χ4288-8-8000−4i4i000000000000000-1-11100000000000−i3i3i−i−3300
χ4388-8-8000−4i4i000000000000000-1-11100000000000i3−i3i−i3−300
χ448-88-8000000000000004-400002-2-220000000000000000000
χ458-88-800000000000000-4400002-2-220000000000000000000
χ4612-12-121204-40004-4400-40000000000000000000000000000000
χ4716-1616-1600000000000000000000-222-20000000000000000000

Here i is the imaginary unit (i² = −1).